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# Polynomial extra -3

Another additional question for the polynomial sprinters.

If $$p(x)$$ is a polynomial with integer co-efficients and a,b and c are three distinct integers,then show that it is impossible to have $$p(a) = b$$,$$p(b) = c$$ and $$p(c) = a$$.

2 years, 3 months ago

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This is in the book by Arthur Engel :D · 2 years, 3 months ago

Oh...sorry...you're right............I actually had these copied in a notebook and hencd didn't underStAND · 2 years, 3 months ago